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Finding the Fourth Proportional to 708,902.52, 978,246.62 and 402,936.46

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Solution

The fourth proportional to 708,902.52, 978,246.62 and 402,936.46 is: 556,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,902.52 : 978,246.62 = 402,936.46 : x
  2. Step 2: Convert to fraction form
    708,902.52/978,246.62 = 402,936.46/x
  3. Step 3: Cross multiply
    708,902.52x = 978,246.62 × 402,936.46
  4. Step 4: Simplify right side
    708,902.52x = 394,171,227,120.48
  5. Step 5: Solve for x
    x = 394,171,227,120.48/708,902.52
  6. Step 6: Final answer
    x = 556,030.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.